Gauge invariance and the nonrelativistic Ward-Takahashi identity

Journal Article · Tue Dec 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.2393· OSTI ID:7029670

Friar, J L ^[1]; Fallieros, S ^[2]

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1. Theoretical Divison, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States) Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-6500 Mainz (Germany)
2. Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)

A simple derivation is given of the nonrelativistic Ward-Takahashi identity, which has been used in nearly every derivation of low-energy theorems for electromagnetic processes in nuclei. The low-energy theorem for Compton scattering is derived without assuming that identity. It is shown that gauge invariance alone leads to the correct form for the Compton amplitude, except that the magnetic recoil term does not have its conventional form. Use of Siegert's theorem, however, leads to that form.

• OSTI ID: 7029670
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BASIC INTERACTIONS
CALCULATION METHODS
COMPTON EFFECT
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
NUCLEAR REACTIONS
PHOTONUCLEAR REACTIONS
SCATTERING
WARD IDENTITY